In response to the increasing importance of underground space operations in future urban warfare， to address the current issues of insufficient research on underground space operations and unclear capability requirements， a grey quality function deployment （GQFD） method based on grey correlation analysis is adopted. After fully studying and analyzing the concept of urban underground seizure and control operations and the basic “task-capability” requirements， a grey correlation analysis and a house of quality demand model are established. Through analysis and calculation， the key capability requirement indicators and their importance ranking for urban underground seizure and control operations are obtained， providing a certain basis for the research on urban underground warfare and the demonstration and construction of equipment requirements.

Currently， the strategic competition among major powers is intensifying. Various operational concepts such as joint all domain concept （JADC）， mosaic warfare， and distributed defense， have brought new threats to the existing aerospace defense system. Against the background of strategic competition among major powers， the characteristics of modern aerospace defense systems are analyzed， such as completeness of operation elements， openness of architecture， antagonism of systems， and convergence of capabilities. The challenges of intelligent development in the aerospace defense system are studied， and the key points of intelligent development of aerospace defense systems are given. In addition， a development vision for an intelligent aerospace defense system featuring agile operation， robust antagonism， and efficient management and control is presented， which provides a new idea for the modernization construction of aerospace defense systems.

In order to solve the special complexity of architecture design of cross-domain operational systems， a design method of multi-dimensional architecture is proposed， including the design of conceptual architecture， physical architecture and logical architecture. The definitions and design procedures of the three above architectures are provided， with the conceptual architecture design including threat situation research， opposition research， capacity requirements analysis and operational concept generation， the physical architecture design including component elements selection， connection relationships description and deployment design， the logical architecture design including organizational hierarchy relationships design， operational process design， information sharing design and precision information transmission analysis. The proposed method can provide guidance for the architecture design of cross-domain operational systems.

Aiming at the complex battlefield situation and diversified weapons and equipments in the modern battlefield， a typical air defense scene model is constructed. Mathematical model and the program， and the pre-optimization design scheme of the defense resources deployment under multiple constraints are obtained by using intelligent solution algorithm. Optimization design and solution are carried out in typical scenarios by using the nested genetic algorithm for the coverage issues of the detecting perceptual resources, and the intercepting and striking resources. The results show that the nested optimization algorithm can optimize the deployment of operational elements of air defense in typical scenes in a short time. Compared with traditional experience-based methods， the resource deployment scheme given by the optimization design has a higher value of space coverage ratio.

For the actual evaluation of the synthetic brigade equipment support capability， considering the fuzziness and randomness of the standard interval of index grade in the evaluation， a synthetic brigade equipment support capability evaluation model based on extension cloud is proposed. The evaluation index system of synthetic brigade equipment support capability is constructed through the systematic analysis of synthetic brigade equipment support task. The weight of each evaluation index is determined by the comprehensive weighting method combining AHP and Entropy method. Considering the advantages of qualitative and quantitative analysis of matter-element model and the characteristics of uncertainty reasoning of cloud assessment model， the extension cloud model of synthetic brigade equipment support capability assessment is constructed， and the confidence information of assessment results is given， the extended cloud model of synthetic brigade equipment support capability evaluation is constructed， and the confidence information of evaluation results is given. The method is proved to be scientific and effective by an example.